Starts 25 Jan 2018 14:00

Ends 25 Jan 2018 15:00

Central European Time

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Joint ICTP/SISSA Statistical Physics Seminar: Eigenstate Thermalization Hypothesis in Two-Dimensional Large Central Charge CFT

Starts 25 Jan 2018 14:00

Ends 25 Jan 2018 15:00

Central European Time

SISSA, Via Bonomea 265, Room 128

By the eigenstate thermalization hypothesis (ETH), a highly excited energy eigenstate behaves like a thermal state. It is related to the black hole information paradox by the AdS/CFT correspondence. I will talk about ETH in two-dimensional large central charge CFT and compare the excited state of a primary operator with the thermal state. To define ETH precisely, one needs to know how similar, or equivalently dissimilar, the excited state and thermal state are. I will talk about short interval expansions of the entanglement entropy, relative entropy, Jensen-Shannon divergence. For the canonical ensemble, the excited state and thermal state are the same at the leading order of large central charge and are different at the next-to-leading order. I will also discuss briefly ETH for generalized Gibbs ensemble, and ETH for the descendant excited states.